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47443717314 = 23272323122961
BaseRepresentation
bin101100001011110111…
…011010110011000010
311112110102201120000100
4230023313122303002
51234131042423224
633443443303230
73266461641360
oct541367326302
9145412646010
1047443717314
1119136818034
12924097ab16
134621295616
14242102c630
15137a24cac9
hexb0bddacc2

47443717314 has 144 divisors (see below), whose sum is σ = 126776692224. Its totient is φ = 12547180800.

The previous prime is 47443717301. The next prime is 47443717319. The reversal of 47443717314 is 41371734474.

47443717314 is a `hidden beast` number, since 47 + 4 + 437 + 173 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47443717314.

It is not an unprimeable number, because it can be changed into a prime (47443717319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2054794 + ... + 2077754.

It is an arithmetic number, because the mean of its divisors is an integer number (880393696).

Almost surely, 247443717314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47443717314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63388346112).

47443717314 is an abundant number, since it is smaller than the sum of its proper divisors (79332974910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47443717314 is a wasteful number, since it uses less digits than its factorization.

47443717314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23053 (or 23027 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 47443717314 in words is "forty-seven billion, four hundred forty-three million, seven hundred seventeen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 529 558 651 713 966 1058 1302 1426 1449 1587 1953 2139 2898 3174 3703 3906 4278 4761 4991 6417 7406 9522 9982 11109 12834 14973 16399 22218 22961 29946 32798 33327 44919 45922 49197 66654 68883 89838 98394 114793 137766 147591 160727 206649 229586 295182 321454 344379 413298 482181 528103 688758 711791 964362 1033137 1056206 1423582 1446543 1584309 2066274 2135373 2893086 3168618 3696721 4270746 4752927 4982537 6406119 7393442 9505854 9965074 11090163 12146369 12812238 14947611 16371193 22180326 24292738 29895222 32742386 33270489 36439107 44842833 49113579 66540978 72878214 85024583 89685666 98227158 109317321 114598351 147340737 170049166 218634642 229196702 255073749 294681474 343795053 376537439 510147498 687590106 753074878 765221247 1031385159 1129612317 1530442494 2062770318 2259224634 2635762073 3388836951 5271524146 6777673902 7907286219 15814572438 23721858657 47443717314